Matrix-free weighted quadrature for a computationally efficient isogeometric \(k\)-method

From MaRDI portal
Publication:1986196

DOI10.1016/j.cma.2018.04.029zbMath1440.65230arXiv1712.08565OpenAlexW2796520447MaRDI QIDQ1986196

Giancarlo Sangalli, Mattia Tani

Publication date: 8 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.08565




Related Items

Easy and efficient preconditioning of the isogeometric mass matrixA computational comparison between isogeometric analysis and spectral element methods: accuracy and spectral propertiesPhase-field modeling for polarization evolution in ferroelectric materials via an isogeometric collocation methodIsogeometric collocation for implicit dynamics of three-dimensional beams undergoing finite motionsThe surrogate matrix methodology: low-cost assembly for isogeometric analysisWeighted isogeometric collocation based on spline projectorsCoupling a NURBS contact interface with a higher order finite element discretization for contact problems using the mortar methodFast formation of isogeometric Galerkin matrices via integration by interpolation and look-upOn the fast assemblage of finite element matrices with application to nonlinear heat transfer problemsEfficient extraction of hierarchical B-splines for local refinement and coarsening of isogeometric analysisA mixed integration point (MIP) formulation for hyperelastic Kirchhoff-Love shells for nonlinear static and dynamic analysisAn improved isogeometric collocation formulation for spatial multi-patch shear-deformable beams with arbitrary initial curvatureHigh‐fidelity tensor‐decomposition based matrix formation for isogeometric buckling analysis of laminated shells with solid‐shell formulationPatch-wise quadrature of trimmed surfaces in isogeometric analysisNumerical quadrature for Gregory quadsA cheap preconditioner based on fast diagonalization method for matrix-free weighted-quadrature isogeometric analysis applied to nonlinear transient heat transfer problemsFast immersed boundary method based on weighted quadratureEffects of parameterization and knot placement techniques on primal and mixed isogeometric collocation formulations of spatial shear-deformable beams with varying curvature and torsionAn efficient solver for space-time isogeometric Galerkin methods for parabolic problemsA domain decomposition method for isogeometric multi-patch problems with inexact local solversCompressive isogeometric analysisRobust approximation error estimates and multigrid solvers for isogeometric multi-patch discretizationsEfficient matrix assembly in isogeometric analysis with hierarchical B-splinesMixed stress-displacement isogeometric collocation for nearly incompressible elasticity and elastoplasticityRobust isogeometric preconditioners for the Stokes system based on the fast diagonalization methodExplicit isogeometric collocation for the dynamics of three-dimensional beams undergoing finite motionsSum factorization techniques in isogeometric analysisA simplified Kirchhoff-Love large deformation model for elastic shells and its effective isogeometric formulationIsogeometric analysis on V-reps: first resultsThe surrogate matrix methodology: accelerating isogeometric analysis of wavesSome remarks on spectral convergence and stability of iso-geometric analysisA robust penalty coupling of non-matching isogeometric Kirchhoff-Love shell patches in large deformationsA matrix-free isogeometric Galerkin method for Karhunen-Loève approximation of random fields using tensor product splines, tensor contraction and interpolation based quadratureOverlapping additive Schwarz preconditioners for isogeometric collocation discretizations of linear elasticitySpace–time least–squares isogeometric method and efficient solver for parabolic problemsA Minimal Stabilization Procedure for Isogeometric Methods on Trimmed GeometriesEfficient matrix computation for isogeometric discretizations with hierarchical B-splines in any dimensionA sparse-grid isogeometric solverExplicit high-order generalized-\(\alpha\) methods for isogeometric analysis of structural dynamicsWeighted quadrature for hierarchical B-splinesFast and multiscale formation of isogeometric matrices of microstructured geometric models


Uses Software


Cites Work